The Relative Lyapunov Indicators: Theory and Application to Dynamical Astronomy
- Autores
- Sandor, Zsolt; Maffione, Nicolás Pablo
- Año de publicación
- 2015
- Idioma
- inglés
- Tipo de recurso
- artículo
- Estado
- versión aceptada
- Descripción
- Fil: Sandor, Zsolt. Konkoly Observatory of the Hungarian Academy of Sciences; Hungría.
Fil: Maffione, Nicolás P. Universidad Nacional de La Plata. Facultad de Ciencias Astronómicas y Geofísicas. Grupo de Caos en Sistemas Hamiltonianos; Argentina
A recently introduced chaos detection method, the Relative Lyapunov Indicator (RLI) is investigated in the cases of symplectic mappings and continuous Hamiltonian systems. It is shown that the RLI is an efficient numerical tool in determining the true nature of individual orbits, and in separating ordered and chaotic regions of the phase space of dynamical systems. A comparison between the RLI and some other variational indicators are presented, as well as the recent applications of the RLI to various problems of dynamical astronomy. - Materia
-
Planetary System
Giant Planet
Chaotic Orbit
Regular Orbit
Dark Matter Halo - Nivel de accesibilidad
- acceso abierto
- Condiciones de uso
- https://creativecommons.org/licenses/by-nc-sa/4.0/
- Repositorio
.jpg)
- Institución
- Universidad Nacional de Río Negro
- OAI Identificador
- oai:rid.unrn.edu.ar:20.500.12049/3766
Ver los metadatos del registro completo
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The Relative Lyapunov Indicators: Theory and Application to Dynamical AstronomySandor, ZsoltMaffione, Nicolás PabloPlanetary SystemGiant PlanetChaotic OrbitRegular OrbitDark Matter HaloFil: Sandor, Zsolt. Konkoly Observatory of the Hungarian Academy of Sciences; Hungría.Fil: Maffione, Nicolás P. Universidad Nacional de La Plata. Facultad de Ciencias Astronómicas y Geofísicas. Grupo de Caos en Sistemas Hamiltonianos; ArgentinaA recently introduced chaos detection method, the Relative Lyapunov Indicator (RLI) is investigated in the cases of symplectic mappings and continuous Hamiltonian systems. It is shown that the RLI is an efficient numerical tool in determining the true nature of individual orbits, and in separating ordered and chaotic regions of the phase space of dynamical systems. A comparison between the RLI and some other variational indicators are presented, as well as the recent applications of the RLI to various problems of dynamical astronomy.Springer2015-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/acceptedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfSándor Z., Maffione N. (2016) The Relative Lyapunov Indicators: Theory and Application to Dynamical Astronomy. In: Skokos C., Gottwald G., Laskar J. (eds) Chaos Detection and Predictability. Lecture Notes in Physics, vol 915. Springer, Berlin, Heidelberg0075-8450https://rid.unrn.edu.ar/jspui/handle/20.500.12049/3766https://doi.org/10.1007/978-3-662-48410-4_6eng915Lecture Notes in Physicsinfo:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/4.0/reponame:RID-UNRN (UNRN)instname:Universidad Nacional de Río Negro2025-10-23T11:17:38Zoai:rid.unrn.edu.ar:20.500.12049/3766instacron:UNRNInstitucionalhttps://rid.unrn.edu.ar/jspui/Universidad públicaNo correspondehttps://rid.unrn.edu.ar/oai/snrdrid@unrn.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:43692025-10-23 11:17:38.447RID-UNRN (UNRN) - Universidad Nacional de Río Negrofalse |
| dc.title.none.fl_str_mv |
The Relative Lyapunov Indicators: Theory and Application to Dynamical Astronomy |
| title |
The Relative Lyapunov Indicators: Theory and Application to Dynamical Astronomy |
| spellingShingle |
The Relative Lyapunov Indicators: Theory and Application to Dynamical Astronomy Sandor, Zsolt Planetary System Giant Planet Chaotic Orbit Regular Orbit Dark Matter Halo |
| title_short |
The Relative Lyapunov Indicators: Theory and Application to Dynamical Astronomy |
| title_full |
The Relative Lyapunov Indicators: Theory and Application to Dynamical Astronomy |
| title_fullStr |
The Relative Lyapunov Indicators: Theory and Application to Dynamical Astronomy |
| title_full_unstemmed |
The Relative Lyapunov Indicators: Theory and Application to Dynamical Astronomy |
| title_sort |
The Relative Lyapunov Indicators: Theory and Application to Dynamical Astronomy |
| dc.creator.none.fl_str_mv |
Sandor, Zsolt Maffione, Nicolás Pablo |
| author |
Sandor, Zsolt |
| author_facet |
Sandor, Zsolt Maffione, Nicolás Pablo |
| author_role |
author |
| author2 |
Maffione, Nicolás Pablo |
| author2_role |
author |
| dc.subject.none.fl_str_mv |
Planetary System Giant Planet Chaotic Orbit Regular Orbit Dark Matter Halo |
| topic |
Planetary System Giant Planet Chaotic Orbit Regular Orbit Dark Matter Halo |
| dc.description.none.fl_txt_mv |
Fil: Sandor, Zsolt. Konkoly Observatory of the Hungarian Academy of Sciences; Hungría. Fil: Maffione, Nicolás P. Universidad Nacional de La Plata. Facultad de Ciencias Astronómicas y Geofísicas. Grupo de Caos en Sistemas Hamiltonianos; Argentina A recently introduced chaos detection method, the Relative Lyapunov Indicator (RLI) is investigated in the cases of symplectic mappings and continuous Hamiltonian systems. It is shown that the RLI is an efficient numerical tool in determining the true nature of individual orbits, and in separating ordered and chaotic regions of the phase space of dynamical systems. A comparison between the RLI and some other variational indicators are presented, as well as the recent applications of the RLI to various problems of dynamical astronomy. |
| description |
Fil: Sandor, Zsolt. Konkoly Observatory of the Hungarian Academy of Sciences; Hungría. |
| publishDate |
2015 |
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2015-01 |
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info:eu-repo/semantics/article info:eu-repo/semantics/acceptedVersion http://purl.org/coar/resource_type/c_6501 info:ar-repo/semantics/articulo |
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article |
| status_str |
acceptedVersion |
| dc.identifier.none.fl_str_mv |
Sándor Z., Maffione N. (2016) The Relative Lyapunov Indicators: Theory and Application to Dynamical Astronomy. In: Skokos C., Gottwald G., Laskar J. (eds) Chaos Detection and Predictability. Lecture Notes in Physics, vol 915. Springer, Berlin, Heidelberg 0075-8450 https://rid.unrn.edu.ar/jspui/handle/20.500.12049/3766 https://doi.org/10.1007/978-3-662-48410-4_6 |
| identifier_str_mv |
Sándor Z., Maffione N. (2016) The Relative Lyapunov Indicators: Theory and Application to Dynamical Astronomy. In: Skokos C., Gottwald G., Laskar J. (eds) Chaos Detection and Predictability. Lecture Notes in Physics, vol 915. Springer, Berlin, Heidelberg 0075-8450 |
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https://rid.unrn.edu.ar/jspui/handle/20.500.12049/3766 https://doi.org/10.1007/978-3-662-48410-4_6 |
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eng |
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eng |
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915 Lecture Notes in Physics |
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Springer |
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Springer |
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